GCD of 345, 421, 14, 269 Calculator

Given Input numbers are 345, 421, 14, 269

In the factoring method, we have to find the divisors of all numbers

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

GCD of numbers is the greatest common divisor

So, the GCD (345, 421, 14, 269) = 1.

Given numbers are 345, 421, 14, 269

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 421 are 421

Prime factors of 14 are 2 x 7

Prime factors of 269 are 269

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 345, 421, 14, 269

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(345, 421) = 145245

GCD(345, 421) = ( 345 x 421 ) / 145245

= 345 / 421

= 345

Step2:

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

= 1 / 14

= 1

Step3:

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

= 1 / 269

= 1

So, Greatest Common Divisor of 345, 421, 14, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 411, 40, 983
• GCD of 541, 811, 65, 661
• GCD of 935, 158, 42, 649
• GCD of 304, 897, 69, 409
• GCD of 551, 129, 47, 797

Given numbers are 345, 421, 14, 269
The greatest common divisor of numbers 345, 421, 14, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 421, 14, 269 is 1.

1. What is the GCD of 345, 421, 14, 269?

GCD of given numbers 345, 421, 14, 269 is 1

2. How to calculate the greatest common divisor of 345, 421, 14, 269?

We can find the highest common divisor of 345, 421, 14, 269 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 345, 421, 14, 269 i.e 1.

3. How can I use the GCD of 345, 421, 14, 269Calculator?

Out the numbers 345, 421, 14, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.